## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |

### Inni boken

Resultat 1-5 av 100

Side 9

AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle A D

EDF : then shall the

the triangle DEF ; and the other angles , to which the equal sides are opposite ...

AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle A D

EDF : then shall the

**base**BC be equal to the**base**EF ; and the triangle ABC tothe triangle DEF ; and the other angles , to which the equal sides are opposite ...

Side 10

The angles at the

, those to which the equal sides are opposite . If the triangle ABC have the side

AC equal to the side BC : then will the angle B be equal to the angle A. For ...

The angles at the

**base**of an isosceles triangle are equal to one another : namely, those to which the equal sides are opposite . If the triangle ABC have the side

AC equal to the side BC : then will the angle B be equal to the angle A. For ...

Side 11

... to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but

the angle DBC is also equal to the angle ACB ; therefore the

the

... to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but

the angle DBC is also equal to the angle ACB ; therefore the

**base**DC is equal tothe

**base**AB , and the area of the triangle DBC is equal to that of the triangle ( 1. Side 14

to the angle CEF , because they are vertical angles ; therefore the

equal ( 1. 1. ) to the

the remaining angles to the remaining angles each to each , to which the equal ...

to the angle CEF , because they are vertical angles ; therefore the

**base**AB isequal ( 1. 1. ) to the

**base**CF , and the trianB D gle AEB to the triangle CEF , andthe remaining angles to the remaining angles each to each , to which the equal ...

Side 16

AB equal to DE , and AC to DF ; but the angle BAC greater than the angle EDF ;

the

be the side which is not greater than the other , and at the point D , in the straight

...

AB equal to DE , and AC to DF ; but the angle BAC greater than the angle EDF ;

the

**base**BC is also greater than the**base**EF . Of the two sides DE , DF , let DEbe the side which is not greater than the other , and at the point D , in the straight

...

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole